Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
The difference of the squares of two consecutive even integers is divisible by
(a)3
(b)4
(c)6
(d)7
Answer
Answer (as printed): B
Explanation
Two consecutive even integers are $2 n$ and ( $2 n+2$ ). $$\begin{gathered} \therefore(2 n+2)^{2}-(2 n)^{2}=\left(4 n^{2}+4+8 n-4 n^{2}\right)=4+8 n=4(1+ \\ 2 n), \text { which is always divisible by } 4 . \end{gathered}$$
Explanation as extracted from the printed page; notation may be imperfect.